A statistical analysis of the numerical condition of multiple roots of polynomials.

DOI10.1016/S0898-1221(03)80003-2zbMath1044.65040MaRDI QIDQ1416369

Winkler, Joab R.

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

numerical examplescondition numberpolynomial rootsuncertainty of data

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items

A comparison of the average case numerical condition of the power and bernstein polynomial bases ⋮ The numerical condition of univariate and bivariate degree elevated Bernstein polynomials

Uses Software

• mctoolbox

Cites Work

• On condition numbers and the distance to the nearest ill-posed problem
• On the numerical condition of polynomials in Bernstein form
• On the condition of algebraic equations
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• The Probability That a Numerical Analysis Problem is Difficult
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems
• Condition numbers of a nearly singular simple root of a polynomial
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